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Simplify. Express your answer as a single fraction in simplest form. $\newline$ $s$ $+$ $\frac{5}{t^5}$

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Simplify mixed rational expressions

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Q. Simplify. Express your answer as a single fraction in simplest form.

\newline

s

+

\frac{5}{t^5}

Find Common Denominator: To combine the terms into a single fraction, we need to have a common denominator. Since $s$ is not a fraction, we can think of it as $\frac{s}{1}$ . The common denominator between $1$ and $t^5$ is $t^5$ .
Rewrite 's' with Common Denominator: Now we rewrite 's' with the common denominator $t^5$ . To do this, we multiply both the numerator and the denominator of $\frac{s}{1}$ by $\frac{t^5}{t^5}$ . $\newline$ $\frac{s}{1} \cdot \frac{t^5}{t^5} = \frac{s \cdot t^5}{t^5}$
Combine Fractions: Next, we combine the two fractions with the common denominator. $\newline$ $(s \cdot t^5)/t^5 + \frac{5}{t^5} = \frac{s \cdot t^5 + 5}{t^5}$
Check for Further Simplification: The expression is now a single fraction. We check to see if it can be simplified further. Since $s$ and $5$ do not have common factors with $t^5$ , the fraction is already in its simplest form.

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